Artem Pulemotov

collaborators

3 papers

math.DG2026

Integral Gauss formula and the Poisson equation for the $G_{2}$ -Laplacian

Timothy Buttsworth, Stepan Hudecek, Artem Pulemotov

We produce a formula, analogous to the Gauss-Codazzi equation, which relates the geometry of a $G_{2}$ -structure and its Hodge Laplacian to the geometry of the induced $S U (3)$ -struct…

math.RT2026

Classification of irreducible unitary modules over $u (p, q ∣ n)$

Mark D. Gould, Artem Pulemotov, Jorgen Rasmussen +1

We classify all irreducible highest-weight unitary modules over the non-compact real form $u (p, q ∣ n)$ of the general linear Lie superalgebra $gl_{p + q ∣ n}$ . The…

math-ph2025

Einstein metrics on homogeneous superspaces

Yang Zhang, Mark D. Gould, Artem Pulemotov +1

This paper initiates the study of the Einstein equation on homogeneous supermanifolds. First, we produce explicit curvature formulas for graded Riemannian metrics on these spaces.…

Integral Gauss formula and the Poisson equation for the G2​-Laplacian

Classification of irreducible unitary modules over u(p,q∣n)

Einstein metrics on homogeneous superspaces

Integral Gauss formula and the Poisson equation for the $G_{2}$ -Laplacian

Classification of irreducible unitary modules over $u (p, q ∣ n)$